Find the height $ h $ of a pyramid if side $a = 48$ and slant height $s = 25$.
Answer
$h = 7$
Explanation
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ a = 48 $ and $ s = 25 $ we have:
$$ h ^ {\,2} + \frac{ 48^2 }{ 4 } = 25^2 $$ $$ h ^ {\,2} + \frac{ 2304 }{ 4 } = 25^2 $$ $$ h ^ {\,2} + 576 = 25^2 $$ $$ h ^ {\,2} = 625 - 576 $$ $$ h ^ {\,2} = 49 $$ $$ h = \sqrt{ 49 } $$$$ h = 7 $$This page was created using
Pyramid Calculator